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Finding the Fourth Proportional to 47.78, 71.70 and 27.48

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Solution

The fourth proportional to 47.78, 71.70 and 27.48 is: 41.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.78 : 71.70 = 27.48 : x
  2. Step 2: Convert to fraction form
    47.78/71.70 = 27.48/x
  3. Step 3: Cross multiply
    47.78x = 71.70 × 27.48
  4. Step 4: Simplify right side
    47.78x = 1,970.32
  5. Step 5: Solve for x
    x = 1,970.32/47.78
  6. Step 6: Final answer
    x = 41.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.